214153920 has 336 divisors, whose sum is σ = 795966912. Its totient is φ = 52715520.

The previous prime is 214153903. The next prime is 214153939. The reversal of 214153920 is 29351412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3510690 + ... + 3510750.

Almost surely, 2^214153920 is an apocalyptic number.

214153920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397983456).

214153920 is an abundant number, since it is smaller than the sum of its proper divisors (581812992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214153920 is a wasteful number, since it uses less digits than its factorization.

214153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 214153920 is about 14633.9987699876. The cubic root of 214153920 is about 598.2857737113.

The spelling of 214153920 in words is "two hundred fourteen million, one hundred fifty-three thousand, nine hundred twenty".